C.B.
Hi B.,
Let me just say you are going to be overwhelmed in NYC especially if you havent been to such a big city before, I myself am a city girl from LA and love NYC. I would not recommend seeing a broadway show on such a short trip unless you really want to, if you do then see the Phantom of the Opera, this is Broadways longest and most famous show. You should also plan to visit Central Park which is HUGE. There you can visit Belvedere Castle, and Strawberry Fields which is a lovely garden in honor of John Lennon (the name is after the orphanage he grew up in).
You should also try to at least visit the lobby of the Plaza which just reopened after closing down for more than 2 years for an extensive renovation, this hotel is all about New York,it is fantastic and grand. If you are a fan of sex and the city I recommend the Sex and the City tour its about 40 bucks and you get to go to the bar where they filmed all the Adan and Steve shots and have a cosmo. Also they take you to her house (carrie's) and you can take photos, but you can go there without the tour as well, just email me and I can give you directions. Now for meals, the 21 club is a legend and a must, if you do their pre theatre menu and reserve through open table you get a free cocktail and a three course meal for about 50 bucks per person if I remember correctly. This place is so charming. Also you cant go wrong with Tavern on the Green in Central Park I love the romantic feel of the place.
I also recomend trying grays papaya for hot dogs which is a NYC staple.
There is also a TAO in new york and its the place to see all New Yorkers, its huge and packed to the max so this might or might not be your thing, loud music and kind of a bar/restaurant feel but the place is quite an experience and the food excelent. Apart from that I dont want to give you more recommendations due to your short visit but enjoy and dont forget to take a picture in times square! Let me know if I can answer any questions, I have been to NYC a handful of times and cant wait to go back this year. My last visit was Oct of 2006.
When you go to ground zero visit the tribute 911 visitor center, right across the street, this is very emotional. more info at http://www.tributenyc.org